منابع مشابه
A Mathematica q - Analogue
Mathematica implementations, available by email request, of q-analogues of Gosper's and Zeilberger's algorithm are described. Nontrivial examples are given in order to illustrate the usage of these packages. The algorithms are based on a new approach to q-hypergeometric telescoping in which a new algebraic concept, q-greatest factorial factorization (qGFF), plays a fundamental role.
متن کاملA q-analogue of ĝl3 hierarchy and q-Painlevé VI
A q-analogue of the ĝl3 Drinfel’d-Sokolov hierarchy is proposed as a reduction of the q-KP hierarchy. Applying a similarity reduction and a q-Laplace transformation to the hierarchy, one can obtain the q-Painlevé VI equation proposed by Jimbo and Sakai. AMS classification scheme numbers: 37K10, 39A12, 39A13 Submitted to: J. Phys. A: Math. Gen. Dedicated to Professors Junkichi Satsuma and Basil ...
متن کاملDefining the q-analogue of a matroid
This paper defines the q-analogue of a matroid and establishes several properties like duality, restriction and contraction. We discuss possible ways to define a q-matroid, and why they are (not) crypto-morphic. Also, we explain the motivation for studying q-matroids by showing that a rank metric code gives a q-matroid. This paper establishes the definition and several basic properties of q-mat...
متن کاملA q-ANALOGUE OF GENERALIZED STIRLING NUMBERS
We investigate a kind of q-analogue which involves a unified generalization of Stirling numbers as a limiting case with q→1. Some basic properties and explicit formulas will be derived, and certain applications related to previously known results will be discussed.
متن کاملA q-Analogue of de Finetti's Theorem
A q-analogue of de Finetti’s theorem is obtained in terms of a boundary problem for the q-Pascal graph. For q a power of prime this leads to a characterisation of random spaces over the Galois field Fq that are invariant under the natural action of the infinite group of invertible matrices with coefficients from Fq.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1986
ISSN: 0035-7596
DOI: 10.1216/rmj-1986-16-1-63